Assignment: Start in class and finish for HW. Do from workbook pg 9-10 #’s 1-4, 5-11 odd, and 15, 18, 23
Example 1
Example 2
Example 3
2.1 Use Inductive Reasoning
Geometry, like much of science and mathematics, was developed partly as a result of people recognizing and describing patterns. In this lesson, you will discover patterns yourself and use them to make predictions.
Goal: How do you use inductive reasoning in mathematics?
Vocabulary
INDUCTIVE REASONING
Inductive Reasoning-you use when you find a pattern in specific cases and then write a conjecture for the general case.
Conjecture- is an unproven statement that is based on observations.
DISPROVING CONJECTURES
To show that a conjecture is true, you must show that is is true of all cases. You can show that a conjecture is false, however, by simply finding counterexamples.
Counterexample- is a specific case for which the conjecture is false.
In class examples: Chapter 2, lessons 1: Examples 5-6Geometry, like much of science and mathematics, was developed partly as a result of people recognizing and describing patterns. In this lesson, you will discover patterns yourself and use them to make predictions.
Goal: How do you use inductive reasoning in mathematics?
Vocabulary
INDUCTIVE REASONING
Inductive Reasoning-you use when you find a pattern in specific cases and then write a conjecture for the general case.
Conjecture- is an unproven statement that is based on observations.
DISPROVING CONJECTURES
To show that a conjecture is true, you must show that is is true of all cases. You can show that a conjecture is false, however, by simply finding counterexamples.
Counterexample- is a specific case for which the conjecture is false.
